Chris has a cell phone with a flat monthly fee of $50 for unlimited calls. He pays $0.25 for each text message. Write a function that describes the total cost for one month.

y = .25x + 50

Step-by-step explanation:

Let's use the slope-intercept equation for this problem:

y = mx + b

where m is the slope and b is the y-intercept

In this problem, m is the amount Chris pays per text and b is the flat rate.

m = price per text = .25

b = flat monthly fee = 50

Let's plug these values into the equation:

y = mx + b

y = .25x + 50

where y is the total cost for a month and x is the number of text messages

Therefore, the function is y = .25x + 50

17

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.